# How to simplify (3times10^8)/(6times10^ -7) in scientific notation?

Apr 12, 2018

Keeping the solution in the same format as the question:

$5.0 \times {10}^{14}$

#### Explanation:

$\textcolor{b r o w n}{\text{They are testing your observation with this one.}}$

color(brown)("Note that "1/10^(-7)" is the same as "10^7
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Write as: $\frac{{\cancel{3}}^{1} \times {10}^{8} \times {10}^{7}}{\cancel{6}} ^ 2 = {10}^{15} / 2 = \frac{1}{2} \times {10}^{15}$

but $\frac{1}{2} = 0.5$

$0.5 \times {10}^{15}$

$5.0 \times {10}^{14}$

Apr 12, 2018

$5 \times {10}^{15}$

#### Explanation:

Deal with the whole numbers$\implies$ $\frac{3}{6} =$0.5

When dividing like terms with powers we simply subtract the

powers $\implies$ ${10}^{8} / \left({10}^{-} 7\right)$. $\implies$8-(-7) = 8+7= 15

${10}^{8} / \left({10}^{-} 7\right)$ =${10}^{15}$

$\frac{3 \times {10}^{8}}{6 \times {10}^{- 7}}$ = $0.5 \times {10}^{15}$

This is 5 with 14 zeros after it 500,000,000,000,000

In scientific form $5 \times {10}^{15}$